1153847735040 has 3456 divisors, whose sum is σ = 5533775815680. Its totient is φ = 200658124800.

The previous prime is 1153847734969. The next prime is 1153847735041. The reversal of 1153847735040 is 405377483511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1153847735041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18915536610 + ... + 18915536670.

It is an arithmetic number, because the mean of its divisors is an integer number (1601208280).

Almost surely, 2^{1153847735040} is an apocalyptic number.

1153847735040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153847735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766887907840).

1153847735040 is an abundant number, since it is smaller than the sum of its proper divisors (4379928080640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1153847735040 is a wasteful number, since it uses less digits than its factorization.

1153847735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 1153847735040 in words is "one trillion, one hundred fifty-three billion, eight hundred forty-seven million, seven hundred thirty-five thousand, forty".